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Transformers and Transmission of Power

 

Transmission of Power

Transformer Uses

Why Power is Transmitted at High Voltages

Transformer Equation

Why AC is Used in Transmission of Power

 

 

 

Transmission of Power

 

Transmission of Electric Power: Plant to Home Transformer: Theory of Operation

 

 

Transformer Equation

From Faraday's law

 

Vsecondary = NsecondaryDFB/Dt            Vprimary = NprimaryDFB/Dt

 

Dividing the two, we arrive at the transformer equation

 

Vsecondary /Vprimary = NsecondaryDFB/Dt/NprimaryDFB/Dt

 

Vsecondary /Vprimary = Nsecondary/Nprimary     or    

Vsecondary = Vprimary (Nsecondary/Nprimary )

 

To create a Step-up transformer: Nsecondary > Nprimary

 

To create a Step-down transformer: Nsecondary < Nprimary


Derivation of the Transformer Equations

Power Transmission: Plant to Home

 

 

Transformer Drum Transmission Substation Transmission Lines

 

Some of the many uses for transformers

 

ð Computer network interface cards

ð Modems

ð Power amlifiers

ð Microwave ovens

ð Car ignition systems

ð etc.

 

 

Why AC Used in Transmission of Power

 

The transformer equation does not work with DC - there is no changing magnetic field

 

 

Why Power Transmitted at High Voltages

 

Assume that 240 kW of electric power is consumed by a certain location that receives this power from 10 miles away over transmission lines.

The transmission lines have a total resistance of 0.40 ohms.

 

I = current in the lines = P/V

 

If the power is transmitted at 240 volts

I = 240,000 W/240 V = 1,000 A

Ploss = I2R = (1x103  A)2(0.40 W) = 400,000 W loss if transmitted at 240 volts

 

If the power is transmitted at 24,000 volts

I = 240,000 W/24,000 V = 10 A

Ploss = I2R = (10  A)(0.40 W) = 4 W loss if transmitted at 24,000 volts